Dear quanta,
Boaz Barak is speaking on Nov 4 from 10am-1pm in room 5-234 about "*Sum of
squares, quantum entanglement, and log rank".*
This is part of a class but anyone is welcome to come. Here is the
announcement from Boaz:
----------------------------
On Friday at MIT (5-234, 10am-1pm as usual) we will talk about a very
recent (in fact yet unpublished) work of me with Pravesh Kothari and David
Steurer using the sos algorithm to give a non-trivial bound for the best
separable state problem in quantum information theory.
Even if you don't care about quantum computing, this is a fairly natural
problem of trying to find a rank one matrix in a linear subspace of
matrices.
The rounding algorithm is inspired by results on the log rank conjecture
from communication complexity, so we will talk a bit about that as well.
Due to the STOC deadline, we probably won't be able to post lecture notes
for this lecture beforehand. If you want to learn a bit more about the BSS
problem you can look at some of the slides/talks at this workshop
http://qma2016.quics.umd.edu/ as well as these lecture notes
https://arxiv.org/abs/1604.01790 though the lecture will be self contained
(and will not use any ket notation :) )
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